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What is the Least Common Multiple of 43484 and 43501?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 43484 and 43501 is 1891597484.

LCM(43484,43501) = 1891597484

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Least Common Multiple of 43484 and 43501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43484 and 43501, than apply into the LCM equation.

GCF(43484,43501) = 1
LCM(43484,43501) = ( 43484 × 43501) / 1
LCM(43484,43501) = 1891597484 / 1
LCM(43484,43501) = 1891597484

Least Common Multiple (LCM) of 43484 and 43501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43484 and 43501. First we will calculate the prime factors of 43484 and 43501.

Prime Factorization of 43484

Prime factors of 43484 are 2, 7, 1553. Prime factorization of 43484 in exponential form is:

43484 = 22 × 71 × 15531

Prime Factorization of 43501

Prime factors of 43501 are 41, 1061. Prime factorization of 43501 in exponential form is:

43501 = 411 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 43484 and 43501.

LCM(43484,43501) = 22 × 71 × 15531 × 411 × 10611
LCM(43484,43501) = 1891597484